Exact Sequences - functions on longright arrows

[Math Amateur]

In exact sequences, a convenient notation is to have a function symbol like

on a longrightarrow.

I have given an example of this in the attachment so it is clear what notation I am requesting help with - see attachment "Exact Sequences - Latex Question"

I have also provided an attachment showing the start of Section 10.5 (Exact Sequences) of Dummit and Foote where there are a number of examples of the terminology I am hoping to use in Latex encoded postings.

If someone can help me with this problem I would be most grateful

Peter

[This has also been posted on MHF]

 

[Opalg]

\stackrel{\psi}{\longrightarrow}: $\stackrel{\psi}{\longrightarrow}$

 

[Math Amateur]

Thanks Opalg, most helpful

\stackrel{\psi}{\longrightarrow}: $\stackrel{\psi}{\longrightarrow}$

 

[Evgeny.Makarov]

Also, \xrightarrow[\text{below arrow}]{\text{above arrow}} gives $\xrightarrow[\text{below arrow}]{\text{above arrow}}$, and \overset{\psi}{\longrightarrow} gives $\overset{\psi}{\longrightarrow}$. The latter command is provided by the amsmath package, and, unlike \stackrel, can be used on ordinary symbols and binary operators and not only relations. See also https://driven2services.com/staging/mh/index.php?threads/433/.

 

[alphy]

I fully understand the importance of clear and concise notation in mathematical discussions, especially when dealing with complex concepts such as exact sequences. In the attachment provided, the function symbol on a longrightarrow is a convenient and commonly used notation in exact sequences. This notation allows for a more compact and organized representation of the functions involved in the sequence.

I have taken a look at the examples in Section 10.5 of Dummit and Foote's textbook and I agree that this notation would be useful in discussions of exact sequences. It is important to use consistent and standard notation in mathematical discussions, and I believe that using the function symbol on a longrightarrow would be a valuable addition to this particular topic.

I hope someone can assist with this problem and provide a solution in Latex format. This would greatly aid in the clarity and understanding of discussions surrounding exact sequences. Thank you for bringing this issue to our attention, and I look forward to seeing the implementation of this notation in future discussions.